Consider the function f(x)=c.bx+q\displaystyle {f{{\left({x}\right)}}}={c}.{b}^{{x}}+{q} passing through the point (2,−29)\displaystyle {\left({2},-\frac{{2}}{{9}}\right)}.

Question 1

What is the equation of the asymptote for this function:  

What is the value of q\displaystyle {q}: q=\displaystyle {q}=  

(2)

 

Question 2

What does the direction of the curve suggest about the value of c\displaystyle {c}?:

   

If c\displaystyle {c} is a solution to the equation x2−5x−6=0\displaystyle {x}^{{2}}-{5}{x}-{6}={0}, what is the value of c\displaystyle {c}?:

c=\displaystyle {c}=   

The coordinates for the y-intercept is  

(5)

 

Question 3

What does the direction of the curve suggests about the value of b\displaystyle {b}:

 

What is the value of b\displaystyle {b}?

 

b=\displaystyle {b}=   

(4)

[11]

 

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